login
a(n) = number of elements of order n in simple group Alt(12) of order 239500800.
1

%I #4 Sep 08 2022 08:45:38

%S 1,63855,776600,3825360,4809024,25530120,570240,29937600,26611200,

%T 25945920,43545600,21621600,0,8553600,6652800,0,0,0,0,11975040,

%U 11404800,0,0,0,0,0,0,0,0,3991680,0,0,0,0,13685760

%N a(n) = number of elements of order n in simple group Alt(12) of order 239500800.

%o (Magma) t1:=[0 : n in [1..240]];

%o G:=Alt(12);

%o t2:=Classes(G);

%o for c in t2 do

%o t1[c[1]] := t1[c[1]] + c[2];

%o end for;

%o t1;

%Y A row of A057740. Cf. A031963.

%K nonn,fini,full

%O 1,2

%A _N. J. A. Sloane_, Apr 06 2009